Vol. 228, No. 1, 2006

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Approximating the modulus of an inner function

Geir Arne Hjelle and Artur Nicolau

Vol. 228 (2006), No. 1, 103–118
Abstract

We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.

Keywords

interpolating Blaschke product, Carleson contour, discretization, inner function, modulus

Mathematical Subject Classification

Primary: 30D50, 30E10

Milestones

Received: 4 October 2005
Accepted: 2 November 2005

Authors
Geir Arne Hjelle
Department of Mathematical Sciences
Norwegian University of Science and Technology
7491 Trondheim
Norway
Department of Mathematics
Washington University
St. Louis, MO 63130
United States
http://www.math.wustl.edu/~hjelle/
Artur Nicolau
Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra, Barcelona
Spain
http://mat.uab.es/~artur/